Soft b−compact spaces
Abstract
In this paper, a new class of generalized soft open sets in soft generalized topological spaces as a generalization of compact spaces, called soft b-compact spaces, is introduced and studied. A soft generalized topological space is soft b-compact if every soft b-open soft cover of FE contains a finite soft subcover. We characterize soft b-compact space and study some of their basic properties.
Keywords
References
- M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Computer and Mathematics with Applications,57, 1547-1553, (2009).
- D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37(4/5) 19-31, (1999).
- P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computer and Math. with Appl., 555-562, (2003).
- M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl.,61, 1786-1799, (2011).
- B. Chen, Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics & Information Sciences, 7(1), 287-294, (2013).
- M. Akdag and A. Ozkan, Soft a-open sets and soft a-continuous functions, Abstr. Anal. Appl. Art ID 891341, 1-7, (2014).
- M. Akdag and A. Ozkan, Soft b-open sets and soft b-continuous functions, Math Sci 8:124 DOI 10.1007/s40096-014-0124-7, (2014).
- S. Hussain and B. Ahmedi, Some properties of soft topological spaces, Neural Comput and Appl., 62, 4058-4067, (2011).
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
March 1, 2016
Submission Date
November 19, 2015
Acceptance Date
March 16, 2016
Published in Issue
Year 2016 Volume: 4 Number: 2